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In the numerical method we most often use numbers in the binary system. But numbers in the binary system are too long and poorly arranged. Octal and hexadecimal systems are often used in the numerical method as the more transparent and shorter alternative for the numerical record in the binary system. DBOH 0000 1111 21022 31133 410044 510155 611066 711177 81000108 DBOH 91001119 10101012A 11101113B 12110014C 13110115D 14111016E 15111117F 16100002010 17100012111

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Conversion of numbers from the binary system to the hexadecimal system. As you can see in the previous chart, the four-bit number in the binary system (in other words up to four digit number) can be elegantly recorded in the octal system by using only one digit number. Instruction: Start on the right side and divide the binary number into fours. Using the chart you can easily express it in the hexadecimal system. Exercise no. 2: Convert the number 1010111010001111 (2) to the hexadecimal system. 1010 (2) = A 1110 (2) = E 1000 (2) = 8 1111 (2) = F 1010 1110 1000 1111 (2) 1010111010001111 (2) = AE8F (16)

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The same method can be used in the case of backwards conversion. Don‘t forget that each symbol in the hexadecimal system (it doesn‘t apply for the one in the highest order) must be substituted by four symbols in the binary system. For example if we substitute the number 2 16 just by the number 10 2 instead of 0010 2 we will get the wrong result. A (16) = 1010 A3B8 (16) = 1010001110111000 (2) Conversion of numbers from the binary numerical system to the hexadecimal.. Exercise no. 4: Convert the number A3B8 (16) to the binary system. A 3 B 8 (16) 3 (16) = 0011B (16) = 1011 8 (16) = 1000 Exercise no. 3: Convert the number E7 (16) to the binary system. E (16) = 11107 (16) = 1111 E7 (16) = 11101111 (2)